Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields
The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r )...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/491648 |
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| author | Sameer M. Ikhdair |
| author_facet | Sameer M. Ikhdair |
| author_sort | Sameer M. Ikhdair |
| collection | DOAJ |
| description | The two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar
S
(
r
)
and vector
V
(
r
)
Cornell potentials (with
S
(
r
)
>
V
(
r
)
) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal
n
and magnetic
m
quantum numbers. Further, we obtain the eigensolutions in any dimensional space
D
without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials. |
| format | Article |
| id | doaj-art-8eebc18847624182b00d0c15559b651c |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-8eebc18847624182b00d0c15559b651c2025-02-03T05:45:30ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/491648491648Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External FieldsSameer M. Ikhdair0Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, PalestineThe two-dimensional (2D) relativistic bound states of a spinless particle placed in scalar S ( r ) and vector V ( r ) Cornell potentials (with S ( r ) > V ( r ) ) are obtained under the influence of external magnetic and Aharonov-Bohm (AB) flux fields using the wave function ansatz method. The relativistic energy eigenvalues and wave functions are found for any arbitrary state with principal n and magnetic m quantum numbers. Further, we obtain the eigensolutions in any dimensional space D without external fields. We also find the relativistic and nonrelativistic bound states for Coulomb, harmonic oscillator, and Kratzer potentials.http://dx.doi.org/10.1155/2013/491648 |
| spellingShingle | Sameer M. Ikhdair Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields Advances in High Energy Physics |
| title | Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields |
| title_full | Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields |
| title_fullStr | Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields |
| title_full_unstemmed | Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields |
| title_short | Relativistic Bound States of Spinless Particle by the Cornell Potential Model in External Fields |
| title_sort | relativistic bound states of spinless particle by the cornell potential model in external fields |
| url | http://dx.doi.org/10.1155/2013/491648 |
| work_keys_str_mv | AT sameermikhdair relativisticboundstatesofspinlessparticlebythecornellpotentialmodelinexternalfields |